A q-deformed family of Perelomov-Popov measures is introduced and its large-N limits, free cumulants, 1/N corrections, and Markov-Krein relations are computed for all q in [-1,1].
Finite-rank perturbations of random band matrices via infinitesimal free probability
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$q$-deformed Perelomov-Popov measures and quantized free probability
A q-deformed family of Perelomov-Popov measures is introduced and its large-N limits, free cumulants, 1/N corrections, and Markov-Krein relations are computed for all q in [-1,1].